{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Logistic Regression Metropolis-Hastings classifier\n",
    "==\n",
    "## Simon Rogers, Feb 2017"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pylab as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Generate some data with two classes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "x = np.random.randn(50,2)\n",
    "x[:25,:] += 1.5\n",
    "x[25:,:] += -1.5\n",
    "t = np.zeros((50,1))\n",
    "t[25:] += 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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XdH5+ntv3EGv0DADALvxYFRCIEsIAAOxibnpaR0qlqtt6SyXNTW27/hoQC4QBANiBc04H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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f165dd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "styles = ['ro','bo']\n",
    "classes = np.unique(t)\n",
    "for i,classn in enumerate(classes):\n",
    "    pos = np.where(t==classn)[0]\n",
    "    plt.plot(x[pos,0],x[pos,1],styles[i])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sample some decision boundaries using metropolis-hastings from this approximation and plot them"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "w_samples = []\n",
    "w = np.vstack((0,0)) # initial value\n",
    "jump_sigma = 0.1 # standard deviation of gaussian proposal\n",
    "n_samps = 1000 # number of samples to take\n",
    "sig_sq = 0.5 # prior variance\n",
    "for samp in range(n_samps):\n",
    "    # generate w_new\n",
    "    w_new = w + np.random.randn(2,1)*jump_sigma\n",
    "    # compute the prior ratio\n",
    "    r = -(1.0/(2.0*sig_sq))*np.dot(w_new.T,w_new).flatten()\n",
    "    r -= -(1.0/(2.0*sig_sq))*np.dot(w.T,w).flatten()\n",
    "    # incorporate the likelihood part\n",
    "    P_new = 1.0/(1.0+np.exp(-np.dot(x,w_new)))\n",
    "    P = 1.0/(1.0+np.exp(-np.dot(x,w)))\n",
    "    pos0 = np.where(t==0)[0]\n",
    "    pos1 = np.where(t==1)[0]\n",
    "    r += P_new[pos1].sum() + (1-P_new[pos0]).sum()\n",
    "    r -= P[pos1].sum() + (1-P[pos0]).sum()\n",
    "    if np.random.rand() <= np.exp(r):\n",
    "        # accept\n",
    "        w = w_new\n",
    "    else:\n",
    "        # reject\n",
    "        pass\n",
    "    w_samples.append(w.flatten())\n",
    "w_samples = np.array(w_samps)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot 20 of the samples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-5, 5)"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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16HJ1iP44GpyUg88jPsi/YJkZXd4/eZB18MBFqQIvUzoWfimg7PbEgm5uYsif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\nC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S/xj9v/DdzANde8izvBhHfi9ZxnFZauiMaTG8kOHsKpDcD4cHsSQl0UPFOAxkdD8n+S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\n/8JgYKMq5J6aAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f34f310>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "for i,classn in enumerate(classes):\n",
    "    pos = np.where(t==classn)[0]\n",
    "    plt.plot(x[pos,0],x[pos,1],styles[i])\n",
    "\n",
    "# Pick 20 random ones\n",
    "for w_sample in np.random.permutation(w_samples)[:20]:\n",
    "#     Plot the line corresponding to w.Tx = 0\n",
    "    xv = np.array([-5,5])\n",
    "    yv = (-w_sample[1]/w_sample[0])*xv\n",
    "    plt.plot(xv,yv)\n",
    "plt.xlim([-5,5])\n",
    "plt.ylim([-5,5])\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the decision boundary. We will actually plot probability contours by making a big grid. To get these values, we have to take an expectation over the approximate posterior (the Laplacian) which we in turn approximate by sampling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "gridX,gridY = np.meshgrid(np.arange(-5,5,0.1),np.arange(-5,5,0.1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note the following code is vectorised to make it faster (needs no explicit loops)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "nr,nc = gridX.shape\n",
    "gx = np.reshape(gridX,(nr*nc,1))\n",
    "gy = np.reshape(gridY,(nr*nc,1))\n",
    "g = np.hstack((gx,gy))\n",
    "P = (1.0/(1+np.exp(np.dot(g,w_samples.T)))).mean(axis=1)\n",
    "P = np.reshape(P,(nr,nc))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.contour.QuadContourSet at 0x10f560250>"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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XQcUXYWZjiN5n3/GzoXStWrw5cyZhX33FvqlT9Q7HIak2uopDeNABAHs/uOtw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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f4dae10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "for i,classn in enumerate(classes):\n",
    "    pos = np.where(t==classn)[0]\n",
    "    plt.plot(x[pos,0],x[pos,1],styles[i])\n",
    "plt.contour(gridX,gridY,P)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
